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Simplifying 8 + 14r + -7 = 8r + 49 + -6r Reorder the terms: 8 + -7 + 14r = 8r + 49 + -6r Combine like terms: 8 + -7 = 1 1 + 14r = 8r + 49 + -6r Reorder the terms: 1 + 14r = 49 + 8r + -6r Combine like terms: 8r + -6r = 2r 1 + 14r = 49 + 2r Solving 1 + 14r = 49 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 1 + 14r + -2r = 49 + 2r + -2r Combine like terms: 14r + -2r = 12r 1 + 12r = 49 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 12r = 49 + 0 1 + 12r = 49 Add '-1' to each side of the equation. 1 + -1 + 12r = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 12r = 49 + -1 12r = 49 + -1 Combine like terms: 49 + -1 = 48 12r = 48 Divide each side by '12'. r = 4 Simplifying r = 4
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